6721824240 has 240 divisors, whose sum is σ = 23689126656. Its totient is φ = 1705881600.

The previous prime is 6721824233. The next prime is 6721824341. The reversal of 6721824240 is 424281276.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6721824240² = 90365842226903155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6721824195 and 6721824204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1359052 + ... + 1363988.

Almost surely, 2^6721824240 is an apocalyptic number.

6721824240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6721824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844563328).

6721824240 is an abundant number, since it is smaller than the sum of its proper divisors (16967302416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6721824240 is a wasteful number, since it uses less digits than its factorization.

6721824240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6721824240 is about 81986.7320973339. The cubic root of 6721824240 is about 1887.2483347342.

The spelling of 6721824240 in words is "six billion, seven hundred twenty-one million, eight hundred twenty-four thousand, two hundred forty".